Synonyms for Go Up (same or very similar meaning)
WordNet sense 1 (move towards):
approach, near, come near, come on, draw close, draw nearWordNet sense 2 (travel up):
ascendWordNet sense 3 (move upward):
arise, lift, rise, uprise, come up, move upWordNet sense 4 (go upward with gradual or continuous progress):
climb, mount, climb upWordNet sense 5 (burn completely; be consumed or destroyed by fire):
burn down, burn upFrom the ODE community, based on WordNetadd/edit